31002011113200 has 60 divisors (see below), whose sum is σ = 99309775603128. Its totient is φ = 8267202963200.

The previous prime is 31002011113081. The next prime is 31002011113211. The reversal of 31002011113200 is 231111020013.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×31002011113200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31002011113200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12917503431 + ... + 12917505830.

Almost surely, 2^{31002011113200} is an apocalyptic number.

31002011113200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31002011113200 is an abundant number, since it is smaller than the sum of its proper divisors (68307764489928).

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

31002011113200 is a wasteful number, since it uses less digits than its factorization.

31002011113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25835009282 (or 25835009271 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 31002011113200 its reverse (231111020013), we get a palindrome (31233122133213).

The spelling of 31002011113200 in words is "thirty-one trillion, two billion, eleven million, one hundred thirteen thousand, two hundred".