1013123131 has 2 divisors, whose sum is σ = 1013123132. Its totient is φ = 1013123130.

The previous prime is 1013123123. The next prime is 1013123171. The reversal of 1013123131 is 1313213101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1013123131 - 2³ = 1013123123 is a prime.

It is a super-2 number, since 2×1013123131² = 2052836957134486322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1013123101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506561565 + 506561566.

It is an arithmetic number, because the mean of its divisors is an integer number (506561566).

Almost surely, 2^1013123131 is an apocalyptic number.

1013123131 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013123131 is an equidigital number, since it uses as much as digits as its factorization.

1013123131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1013123131 is about 31829.5952063484. The cubic root of 1013123131 is about 1004.3553801244.

Adding to 1013123131 its reverse (1313213101), we get a palindrome (2326336232).

The spelling of 1013123131 in words is "one billion, thirteen million, one hundred twenty-three thousand, one hundred thirty-one".