31311121303100 has 72 divisors (see below), whose sum is σ = 69534500788368. Its totient is φ = 12231555033600.

The previous prime is 31311121303093. The next prime is 31311121303103. The reversal of 31311121303100 is 130312111313.

It is a super-2 number, since 2×31311121303100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31311121303103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32100590 + ... + 33061610.

It is an arithmetic number, because the mean of its divisors is an integer number (965756955394).

Almost surely, 2^{31311121303100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31311121303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34767250394184).

31311121303100 is an abundant number, since it is smaller than the sum of its proper divisors (38223379485268).

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

31311121303100 is a wasteful number, since it uses less digits than its factorization.

31311121303100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968655 (or 968648 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 31311121303100 its reverse (130312111313), we get a palindrome (31441433414413).

The spelling of 31311121303100 in words is "thirty-one trillion, three hundred eleven billion, one hundred twenty-one million, three hundred three thousand, one hundred".