10131010020 has 72 divisors (see below), whose sum is σ = 30753862776. Its totient is φ = 2699569152.

The previous prime is 10131010013. The next prime is 10131010027. The reversal of 10131010020 is 2001013101.

It is an interprime number because it is at equal distance from previous prime (10131010013) and next prime (10131010027).

It can be written as a sum of positive squares in 4 ways, for example, as 2005069284 + 8125940736 = 44778^2 + 90144^2 .

It is a super-3 number, since 3×10131010020³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10131009984 and 10131010011.

It is not an unprimeable number, because it can be changed into a prime (10131010027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226644 + ... + 267636.

It is an arithmetic number, because the mean of its divisors is an integer number (427136983).

Almost surely, 2^10131010020 is an apocalyptic number.

10131010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131010020 is an abundant number, since it is smaller than the sum of its proper divisors (20622852756).

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

10131010020 is a wasteful number, since it uses less digits than its factorization.

10131010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42381 (or 42376 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10131010020 its reverse (2001013101), we get a palindrome (12132023121).

The spelling of 10131010020 in words is "ten billion, one hundred thirty-one million, ten thousand, twenty".