101303120414431 has 8 divisors (see below), whose sum is σ = 112044199710464. Its totient is φ = 90983259914400.

The previous prime is 101303120414413. The next prime is 101303120414449. The reversal of 101303120414431 is 134414021303101.

It is an interprime number because it is at equal distance from previous prime (101303120414413) and next prime (101303120414449).

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 101303120414431 - 2⁵ = 101303120414399 is a prime.

It is a super-2 number, since 2×101303120414431² (a number of 29 digits) contains 22 as substring.

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 101303120414431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101303120414411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105304698495 + ... + 105304699456.

It is an arithmetic number, because the mean of its divisors is an integer number (14005524963808).

Almost surely, 2^{101303120414431} is an apocalyptic number.

101303120414431 is a deficient number, since it is larger than the sum of its proper divisors (10741079296033).

101303120414431 is a wasteful number, since it uses less digits than its factorization.

101303120414431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210609398001.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 101303120414431 its reverse (134414021303101), we get a palindrome (235717141717532).

The spelling of 101303120414431 in words is "one hundred one trillion, three hundred three billion, one hundred twenty million, four hundred fourteen thousand, four hundred thirty-one".