101013304100431 has 4 divisors (see below), whose sum is σ = 101183646940992. Its totient is φ = 100842961259872.

The previous prime is 101013304100411. The next prime is 101013304100453. The reversal of 101013304100431 is 134001403310101.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101013304100431 is a prime.

It is a super-2 number, since 2×101013304100431² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101013304100411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85171419391 + ... + 85171420576.

It is an arithmetic number, because the mean of its divisors is an integer number (25295911735248).

Almost surely, 2^{101013304100431} is an apocalyptic number.

101013304100431 is a deficient number, since it is larger than the sum of its proper divisors (170342840561).

101013304100431 is an equidigital number, since it uses as much as digits as its factorization.

101013304100431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170342840560.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 101013304100431 its reverse (134001403310101), we get a palindrome (235014707410532).

The spelling of 101013304100431 in words is "one hundred one trillion, thirteen billion, three hundred four million, one hundred thousand, four hundred thirty-one".