101311431155213 has 8 divisors (see below), whose sum is σ = 101375739680760. Its totient is φ = 101247123916800.

The previous prime is 101311431155203. The next prime is 101311431155279. The reversal of 101311431155213 is 312551134113101.

It can be written as a sum of positive squares in 4 ways, for example, as 10366255590889 + 90945175564324 = 3219667^2 + 9536518^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 101311431155213 - 2⁴⁶ = 30942686977549 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101311431155213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101311431155203) 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, 194435831 + ... + 194956187.

It is an arithmetic number, because the mean of its divisors is an integer number (12671967460095).

Almost surely, 2^{101311431155213} is an apocalyptic number.

It is an amenable number.

101311431155213 is a deficient number, since it is larger than the sum of its proper divisors (64308525547).

101311431155213 is a wasteful number, since it uses less digits than its factorization.

101311431155213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643567.

The product of its (nonzero) digits is 5400, while the sum is 32.

Adding to 101311431155213 its reverse (312551134113101), we get a palindrome (413862565268314).

The spelling of 101311431155213 in words is "one hundred one trillion, three hundred eleven billion, four hundred thirty-one million, one hundred fifty-five thousand, two hundred thirteen".