1036345131 has 32 divisors (see below), whose sum is σ = 1600027200. Its totient is φ = 662135040.

The previous prime is 1036345127. The next prime is 1036345153. The reversal of 1036345131 is 1315436301.

1036345131 is a `hidden beast` number, since 10 + 3 + 634 + 5 + 13 + 1 = 666.

It is not a de Polignac number, because 1036345131 - 2² = 1036345127 is a prime.

It is a super-3 number, since 3×1036345131³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1036345095 and 1036345104.

It is not an unprimeable number, because it can be changed into a prime (1036345111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102441 + ... + 112101.

It is an arithmetic number, because the mean of its divisors is an integer number (50000850).

Almost surely, 2^1036345131 is an apocalyptic number.

1036345131 is a deficient number, since it is larger than the sum of its proper divisors (563682069).

1036345131 is a wasteful number, since it uses less digits than its factorization.

1036345131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9836 (or 9830 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1036345131 is about 32192.3147816369. The cubic root of 1036345131 is about 1011.9711630641.

The spelling of 1036345131 in words is "one billion, thirty-six million, three hundred forty-five thousand, one hundred thirty-one".