1020311131 has 16 divisors (see below), whose sum is σ = 1187366400. Its totient is φ = 858619008.

The previous prime is 1020311111. The next prime is 1020311137. The reversal of 1020311131 is 1311130201.

It is a cyclic number.

It is not a de Polignac number, because 1020311131 - 2²⁹ = 483440219 is a prime.

It is a super-2 number, since 2×1020311131² = 2082069608084998322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020311137) 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 15 ways as a sum of consecutive naturals, for example, 543811 + ... + 545683.

It is an arithmetic number, because the mean of its divisors is an integer number (74210400).

Almost surely, 2^1020311131 is an apocalyptic number.

1020311131 is a deficient number, since it is larger than the sum of its proper divisors (167055269).

1020311131 is a wasteful number, since it uses less digits than its factorization.

1020311131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1020311131 is about 31942.3094187005. The cubic root of 1020311131 is about 1006.7250493285.

Adding to 1020311131 its reverse (1311130201), we get a palindrome (2331441332).

The spelling of 1020311131 in words is "one billion, twenty million, three hundred eleven thousand, one hundred thirty-one".