351145352313133 has 16 divisors (see below), whose sum is σ = 402909813895680. Its totient is φ = 299781112590000.

The previous prime is 351145352313127. The next prime is 351145352313169. The reversal of 351145352313133 is 331313253541153.

It is a cyclic number.

It is not a de Polignac number, because 351145352313133 - 2²⁹ = 351144815442221 is a prime.

It is a super-2 number, since 2×351145352313133² (a number of 30 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 351145352313133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351145352313103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493957438 + ... + 494667808.

It is an arithmetic number, because the mean of its divisors is an integer number (25181863368480).

Almost surely, 2^{351145352313133} is an apocalyptic number.

It is an amenable number.

351145352313133 is a deficient number, since it is larger than the sum of its proper divisors (51764461582547).

351145352313133 is a wasteful number, since it uses less digits than its factorization.

351145352313133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991968.

The product of its digits is 729000, while the sum is 43.

The spelling of 351145352313133 in words is "three hundred fifty-one trillion, one hundred forty-five billion, three hundred fifty-two million, three hundred thirteen thousand, one hundred thirty-three".