10311032113200 has 1080 divisors, whose sum is σ = 46037876543568. Its totient is φ = 2116699361280.

The previous prime is 10311032113183. The next prime is 10311032113211. The reversal of 10311032113200 is 231123011301.

10311032113200 is a `hidden beast` number, since 1 + 0 + 31 + 103 + 211 + 320 + 0 = 666.

It is a super-2 number, since 2×10311032113200² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 84787639 + ... + 84909161.

Almost surely, 2^{10311032113200} is an apocalyptic number.

10311032113200 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 10311032113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23018938271784).

10311032113200 is an abundant number, since it is smaller than the sum of its proper divisors (35726844430368).

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

10311032113200 is a wasteful number, since it uses less digits than its factorization.

10311032113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121611 (or 121590 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10311032113200 its reverse (231123011301), we get a palindrome (10542155124501).

The spelling of 10311032113200 in words is "ten trillion, three hundred eleven billion, thirty-two million, one hundred thirteen thousand, two hundred".