31034853135 has 256 divisors, whose sum is σ = 66653798400. Its totient is φ = 13672074240.

The previous prime is 31034853133. The next prime is 31034853163. The reversal of 31034853135 is 53135843013.

It is not a de Polignac number, because 31034853135 - 2¹ = 31034853133 is a prime.

It is a super-2 number, since 2×31034853135² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31034853135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31034853131) 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 255 ways as a sum of consecutive naturals, for example, 139169634 + ... + 139169856.

It is an arithmetic number, because the mean of its divisors is an integer number (260366400).

Almost surely, 2^31034853135 is an apocalyptic number.

31034853135 is an abundant number, since it is smaller than the sum of its proper divisors (35618945265).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31034853135 is a wasteful number, since it uses less digits than its factorization.

31034853135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 31034853135 in words is "thirty-one billion, thirty-four million, eight hundred fifty-three thousand, one hundred thirty-five".