1013120431200 has 432 divisors, whose sum is σ = 3744403842816. Its totient is φ = 257271168000.

The previous prime is 1013120431171. The next prime is 1013120431231. The reversal of 1013120431200 is 21340213101.

1013120431200 is a `hidden beast` number, since 1 + 0 + 1 + 31 + 2 + 0 + 431 + 200 = 666.

It is a super-2 number, since 2×1013120431200² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37577725 + ... + 37604675.

It is an arithmetic number, because the mean of its divisors is an integer number (8667601488).

Almost surely, 2^{1013120431200} is an apocalyptic number.

1013120431200 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 1013120431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872201921408).

1013120431200 is an abundant number, since it is smaller than the sum of its proper divisors (2731283411616).

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

1013120431200 is a wasteful number, since it uses less digits than its factorization.

1013120431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27227 (or 27211 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1013120431200 its reverse (21340213101), we get a palindrome (1034460644301).

The spelling of 1013120431200 in words is "one trillion, thirteen billion, one hundred twenty million, four hundred thirty-one thousand, two hundred".