1010101131 has 32 divisors (see below), whose sum is σ = 1618379840. Its totient is φ = 618969600.

The previous prime is 1010101109. The next prime is 1010101177. The reversal of 1010101131 is 1311010101.

It is not a de Polignac number, because 1010101131 - 2²⁷ = 875883403 is a prime.

It is a super-2 number, since 2×1010101131² = 2040608589694958322, which contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010101331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78621 + ... + 90561.

It is an arithmetic number, because the mean of its divisors is an integer number (50574370).

Almost surely, 2^1010101131 is an apocalyptic number.

1010101131 is a deficient number, since it is larger than the sum of its proper divisors (608278709).

1010101131 is a wasteful number, since it uses less digits than its factorization.

1010101131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12204 (or 12198 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

The square root of 1010101131 is about 31782.0882101853. The cubic root of 1010101131 is about 1003.3557698785.

Adding to 1010101131 its reverse (1311010101), we get a palindrome (2321111232).

It can be divided in two parts, 1010101 and 131, that multiplied together give a palindrome (132323231).

The spelling of 1010101131 in words is "one billion, ten million, one hundred one thousand, one hundred thirty-one".