32133113121313 has 8 divisors (see below), whose sum is σ = 32204631715776. Its totient is φ = 32061619220400.

The previous prime is 32133113121271. The next prime is 32133113121397. The reversal of 32133113121313 is 31312131133123.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-32133113121313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32133113151313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3566718 + ... + 8774263.

It is an arithmetic number, because the mean of its divisors is an integer number (4025578964472).

Almost surely, 2^{32133113121313} is an apocalyptic number.

It is an amenable number.

32133113121313 is a deficient number, since it is larger than the sum of its proper divisors (71518594463).

32133113121313 is a wasteful number, since it uses less digits than its factorization.

32133113121313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12346775.

The product of its digits is 2916, while the sum is 28.

Adding to 32133113121313 its reverse (31312131133123), we get a palindrome (63445244254436).

It can be divided in two parts, 32133 and 113121313, that added together give a triangular number (113153446 = T₁₅₀₄₃).

The spelling of 32133113121313 in words is "thirty-two trillion, one hundred thirty-three billion, one hundred thirteen million, one hundred twenty-one thousand, three hundred thirteen".