101031313122020 has 24 divisors (see below), whose sum is σ = 212192983054584. Its totient is φ = 40407339439616.

The previous prime is 101031313122001. The next prime is 101031313122067. The reversal of 101031313122020 is 20221313130101.

It is a happy number.

101031313122020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11548945843876 + 89482367278144 = 3398374^2 + 9459512^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101031313121983 and 101031313122001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 323953319 + ... + 324265038.

It is an arithmetic number, because the mean of its divisors is an integer number (8841374293941).

Almost surely, 2^{101031313122020} is an apocalyptic number.

101031313122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101031313122020 is an abundant number, since it is smaller than the sum of its proper divisors (111161669932564).

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

101031313122020 is a wasteful number, since it uses less digits than its factorization.

101031313122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648226159 (or 648226157 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 101031313122020 its reverse (20221313130101), we get a palindrome (121252626252121).

The spelling of 101031313122020 in words is "one hundred one trillion, thirty-one billion, three hundred thirteen million, one hundred twenty-two thousand, twenty".