1373133613140 has 144 divisors (see below), whose sum is σ = 4244997229200. Its totient is φ = 359155390464.

The previous prime is 1373133613129. The next prime is 1373133613141. The reversal of 1373133613140 is 413163313731.

1373133613140 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 1 + 33 + 613 + 1 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 257409936 + 1372876203204 = 16044^2 + 1171698^2 .

It is a super-2 number, since 2×1373133613140² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1373133613095 and 1373133613104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1373133613141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35937166 + ... + 35975354.

It is an arithmetic number, because the mean of its divisors is an integer number (29479147425).

Almost surely, 2^{1373133613140} is an apocalyptic number.

1373133613140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1373133613140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122498614600).

1373133613140 is an abundant number, since it is smaller than the sum of its proper divisors (2871863616060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1373133613140 is a wasteful number, since it uses less digits than its factorization.

1373133613140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42026 (or 42021 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

Adding to 1373133613140 its reverse (413163313731), we get a palindrome (1786296926871).

The spelling of 1373133613140 in words is "one trillion, three hundred seventy-three billion, one hundred thirty-three million, six hundred thirteen thousand, one hundred forty".