31013121101220 has 384 divisors, whose sum is σ = 98363201126400. Its totient is φ = 8110777618944.

The previous prime is 31013121101213. The next prime is 31013121101227. The reversal of 31013121101220 is 2210112131013.

31013121101220 is a `hidden beast` number, since 31 + 0 + 1 + 312 + 1 + 101 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (31013121101213) and next prime (31013121101227).

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 = 31013121101193 and 31013121101202.

It is not an unprimeable number, because it can be changed into a prime (31013121101227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4483605202 + ... + 4483612118.

It is an arithmetic number, because the mean of its divisors is an integer number (256154169600).

Almost surely, 2^{31013121101220} is an apocalyptic number.

31013121101220 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 31013121101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49181600563200).

31013121101220 is an abundant number, since it is smaller than the sum of its proper divisors (67350080025180).

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

31013121101220 is a wasteful number, since it uses less digits than its factorization.

31013121101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7704 (or 7696 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 31013121101220 its reverse (2210112131013), we get a palindrome (33223233232233).

The spelling of 31013121101220 in words is "thirty-one trillion, thirteen billion, one hundred twenty-one million, one hundred one thousand, two hundred twenty".