101332113123313 has 16 divisors (see below), whose sum is σ = 104740179344640. Its totient is φ = 97976335320576.

The previous prime is 101332113123233. The next prime is 101332113123349. The reversal of 101332113123313 is 313321311233101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101332113123313 - 2¹⁷ = 101332112992241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101332113123013) 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, 78900481 + ... + 80174497.

It is an arithmetic number, because the mean of its divisors is an integer number (6546261209040).

Almost surely, 2^{101332113123313} is an apocalyptic number.

It is an amenable number.

101332113123313 is a deficient number, since it is larger than the sum of its proper divisors (3408066221327).

101332113123313 is a wasteful number, since it uses less digits than its factorization.

101332113123313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294536.

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

Adding to 101332113123313 its reverse (313321311233101), we get a palindrome (414653424356414).

The spelling of 101332113123313 in words is "one hundred one trillion, three hundred thirty-two billion, one hundred thirteen million, one hundred twenty-three thousand, three hundred thirteen".