1013144200380 has 288 divisors, whose sum is σ = 3449559859200. Its totient is φ = 238999610880.

The previous prime is 1013144200331. The next prime is 1013144200381. The reversal of 1013144200380 is 830024413101.

1013144200380 is a `hidden beast` number, since 10 + 1 + 31 + 44 + 200 + 380 = 666.

It is a super-2 number, since 2×1013144200380² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013144200381) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7403821 + ... + 7539419.

It is an arithmetic number, because the mean of its divisors is an integer number (11977638400).

Almost surely, 2^{1013144200380} is an apocalyptic number.

1013144200380 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 1013144200380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724779929600).

1013144200380 is an abundant number, since it is smaller than the sum of its proper divisors (2436415658820).

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

1013144200380 is a wasteful number, since it uses less digits than its factorization.

1013144200380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135761 (or 135756 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1013144200380 its reverse (830024413101), we get a palindrome (1843168613481).

The spelling of 1013144200380 in words is "one trillion, thirteen billion, one hundred forty-four million, two hundred thousand, three hundred eighty".