1013131220 has 24 divisors (see below), whose sum is σ = 2131287144. Its totient is φ = 404545536.

The previous prime is 1013131159. The next prime is 1013131237. The reversal of 1013131220 is 221313101.

1013131220 is digitally balanced in base 6, 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 83978896 + 929152324 = 9164^2 + 30482^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1013131195 and 1013131204.

It is a congruent number.

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, 32357 + ... + 55436.

It is an arithmetic number, because the mean of its divisors is an integer number (88803631).

Almost surely, 2^1013131220 is an apocalyptic number.

1013131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013131220 is an abundant number, since it is smaller than the sum of its proper divisors (1118155924).

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

1013131220 is a wasteful number, since it uses less digits than its factorization.

1013131220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88379 (or 88377 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1013131220 is about 31829.7222733721. The cubic root of 1013131220 is about 1004.3580531161.

Adding to 1013131220 its reverse (221313101), we get a palindrome (1234444321).

The spelling of 1013131220 in words is "one billion, thirteen million, one hundred thirty-one thousand, two hundred twenty".