1001313332113 has 16 divisors (see below), whose sum is σ = 1033490102400. Its totient is φ = 969530601600.

The previous prime is 1001313332069. The next prime is 1001313332119. The reversal of 1001313332113 is 3112333131001.

It is a cyclic number.

It is not a de Polignac number, because 1001313332113 - 2³³ = 992723397521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001313332119) 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, 3084558 + ... + 3393688.

It is an arithmetic number, because the mean of its divisors is an integer number (64593131400).

Almost surely, 2^{1001313332113} is an apocalyptic number.

It is an amenable number.

1001313332113 is a deficient number, since it is larger than the sum of its proper divisors (32176770287).

1001313332113 is a wasteful number, since it uses less digits than its factorization.

1001313332113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309768.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 1001313332113 its reverse (3112333131001), we get a palindrome (4113646463114).

The spelling of 1001313332113 in words is "one trillion, one billion, three hundred thirteen million, three hundred thirty-two thousand, one hundred thirteen".