31312213033100 has 144 divisors (see below), whose sum is σ = 74682816868800. Its totient is φ = 11381634933760.

The previous prime is 31312213033097. The next prime is 31312213033121. The reversal of 31312213033100 is 133031221313.

It is a super-2 number, since 2×31312213033100² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13148849 + ... + 15346551.

It is an arithmetic number, because the mean of its divisors is an integer number (518630672700).

Almost surely, 2^{31312213033100} 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 31312213033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37341408434400).

31312213033100 is an abundant number, since it is smaller than the sum of its proper divisors (43370603835700).

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

31312213033100 is a wasteful number, since it uses less digits than its factorization.

31312213033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197797 (or 2197756 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 31312213033100 its reverse (133031221313), we get a palindrome (31445244254413).

The spelling of 31312213033100 in words is "thirty-one trillion, three hundred twelve billion, two hundred thirteen million, thirty-three thousand, one hundred".