31300112121300 has 360 divisors, whose sum is σ = 110821548654432. Its totient is φ = 7578645984000.

The previous prime is 31300112121281. The next prime is 31300112121353. The reversal of 31300112121300 is 312121100313.

31300112121300 is a `hidden beast` number, since 3 + 130 + 0 + 112 + 121 + 300 = 666.

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 119 ways as a sum of consecutive naturals, for example, 72937159 + ... + 73365041.

Almost surely, 2^{31300112121300} is an apocalyptic number.

31300112121300 is a gapful number since it is divisible by the number (30) 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 31300112121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55410774327216).

31300112121300 is an abundant number, since it is smaller than the sum of its proper divisors (79521436533132).

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

31300112121300 is a wasteful number, since it uses less digits than its factorization.

31300112121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428741 (or 428725 counting only the distinct ones).

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

Adding to 31300112121300 its reverse (312121100313), we get a palindrome (31612233221613).

The spelling of 31300112121300 in words is "thirty-one trillion, three hundred billion, one hundred twelve million, one hundred twenty-one thousand, three hundred".