101331212130313 has 16 divisors (see below), whose sum is σ = 115406723791872. Its totient is φ = 88070281002000.

The previous prime is 101331212130293. The next prime is 101331212130329. The reversal of 101331212130313 is 313031212133101.

It is not a de Polignac number, because 101331212130313 - 2⁹ = 101331212129801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101331212130013) 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 15 ways as a sum of consecutive naturals, for example, 99073173 + ... + 100090738.

It is an arithmetic number, because the mean of its divisors is an integer number (7212920236992).

Almost surely, 2^{101331212130313} is an apocalyptic number.

It is an amenable number.

101331212130313 is a deficient number, since it is larger than the sum of its proper divisors (14075511661559).

101331212130313 is a wasteful number, since it uses less digits than its factorization.

101331212130313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199165956.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 101331212130313 its reverse (313031212133101), we get a palindrome (414362424263414).

The spelling of 101331212130313 in words is "one hundred one trillion, three hundred thirty-one billion, two hundred twelve million, one hundred thirty thousand, three hundred thirteen".