1011315435131 has 16 divisors (see below), whose sum is σ = 1111940913600. Its totient is φ = 915510263808.

The previous prime is 1011315435121. The next prime is 1011315435149. The reversal of 1011315435131 is 1315345131101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1011315435131 is a prime.

It is a super-2 number, since 2×1011315435131² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011315435094 and 1011315435103.

It is not an unprimeable number, because it can be changed into a prime (1011315435121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3770246 + ... + 4029563.

It is an arithmetic number, because the mean of its divisors is an integer number (69496307100).

Almost surely, 2^{1011315435131} is an apocalyptic number.

1011315435131 is a deficient number, since it is larger than the sum of its proper divisors (100625478469).

1011315435131 is a wasteful number, since it uses less digits than its factorization.

1011315435131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7800118.

The product of its (nonzero) digits is 2700, while the sum is 29.

The spelling of 1011315435131 in words is "one trillion, eleven billion, three hundred fifteen million, four hundred thirty-five thousand, one hundred thirty-one".