31020102131220 has 144 divisors (see below), whose sum is σ = 97355758565520. Its totient is φ = 7985405030400.

The previous prime is 31020102131201. The next prime is 31020102131243. The reversal of 31020102131220 is 2213120102013.

31020102131220 is a `hidden beast` number, since 31 + 0 + 201 + 0 + 213 + 1 + 220 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 63764330256 + 30956337800964 = 252516^2 + 5563842^2 .

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 = 31020102131193 and 31020102131202.

It is a congruent number.

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, 29875180 + ... + 30896060.

It is an arithmetic number, because the mean of its divisors is an integer number (676081656705).

Almost surely, 2^{31020102131220} is an apocalyptic number.

31020102131220 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 31020102131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48677879282760).

31020102131220 is an abundant number, since it is smaller than the sum of its proper divisors (66335656434300).

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

31020102131220 is a wasteful number, since it uses less digits than its factorization.

31020102131220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026746 (or 1026741 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31020102131220 its reverse (2213120102013), we get a palindrome (33233222233233).

The spelling of 31020102131220 in words is "thirty-one trillion, twenty billion, one hundred two million, one hundred thirty-one thousand, two hundred twenty".