31213300210020 has 288 divisors, whose sum is σ = 96427909783296. Its totient is φ = 8170968960000.

The previous prime is 31213300210007. The next prime is 31213300210067. The reversal of 31213300210020 is 2001200331213.

31213300210020 is a `hidden beast` number, since 3 + 121 + 330 + 0 + 210 + 0 + 2 + 0 = 666.

It is a super-2 number, since 2×31213300210020² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 31213300209975 and 31213300210002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7968673102 + ... + 7968677018.

It is an arithmetic number, because the mean of its divisors is an integer number (334819131192).

Almost surely, 2^{31213300210020} is an apocalyptic number.

31213300210020 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 31213300210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48213954891648).

31213300210020 is an abundant number, since it is smaller than the sum of its proper divisors (65214609573276).

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

31213300210020 is a wasteful number, since it uses less digits than its factorization.

31213300210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6531 (or 6526 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31213300210020 its reverse (2001200331213), we get a palindrome (33214500541233).

The spelling of 31213300210020 in words is "thirty-one trillion, two hundred thirteen billion, three hundred million, two hundred ten thousand, twenty".