140013003001320 has 192 divisors, whose sum is σ = 457384788329040. Its totient is φ = 37144620441600.

The previous prime is 140013003001301. The next prime is 140013003001327. The reversal of 140013003001320 is 23100300310041.

140013003001320 is a `hidden beast` number, since 1 + 40 + 0 + 1 + 3 + 0 + 0 + 300 + 1 + 320 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 70590545705124 + 69422457296196 = 8401818^2 + 8332014^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 140013003001293 and 140013003001302.

It is not an unprimeable number, because it can be changed into a prime (140013003001327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1117707490 + ... + 1117832750.

Almost surely, 2^{140013003001320} is an apocalyptic number.

140013003001320 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 140013003001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228692394164520).

140013003001320 is an abundant number, since it is smaller than the sum of its proper divisors (317371785327720).

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

140013003001320 is a wasteful number, since it uses less digits than its factorization.

140013003001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141236 (or 141229 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 140013003001320 its reverse (23100300310041), we get a palindrome (163113303311361).

The spelling of 140013003001320 in words is "one hundred forty trillion, thirteen billion, three million, one thousand, three hundred twenty".