310220101130112 has 288 divisors, whose sum is σ = 909131840744400. Its totient is φ = 101535255613440.

The previous prime is 310220101130111. The next prime is 310220101130131. The reversal of 310220101130112 is 211031101022013.

310220101130112 is a `hidden beast` number, since 31 + 0 + 220 + 101 + 1 + 301 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×310220101130112² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310220101130111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1608186564 + ... + 1608379452.

Almost surely, 2^{310220101130112} is an apocalyptic number.

310220101130112 is a gapful number since it is divisible by the number (32) 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 310220101130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454565920372200).

310220101130112 is an abundant number, since it is smaller than the sum of its proper divisors (598911739614288).

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

310220101130112 is a wasteful number, since it uses less digits than its factorization.

310220101130112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193354 (or 193272 counting only the distinct ones).

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

Adding to 310220101130112 its reverse (211031101022013), we get a palindrome (521251202152125).

The spelling of 310220101130112 in words is "three hundred ten trillion, two hundred twenty billion, one hundred one million, one hundred thirty thousand, one hundred twelve".