101431133343223 has 16 divisors (see below), whose sum is σ = 103692038284800. Its totient is φ = 99190110067200.

The previous prime is 101431133343191. The next prime is 101431133343307. The reversal of 101431133343223 is 322343331134101.

It is a cyclic number.

It is not a de Polignac number, because 101431133343223 - 2⁵ = 101431133343191 is a prime.

It is a super-2 number, since 2×101431133343223² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101431133343623) 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, 18254253 + ... + 23153401.

It is an arithmetic number, because the mean of its divisors is an integer number (6480752392800).

Almost surely, 2^{101431133343223} is an apocalyptic number.

101431133343223 is a deficient number, since it is larger than the sum of its proper divisors (2260904941577).

101431133343223 is a wasteful number, since it uses less digits than its factorization.

101431133343223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4901178.

The product of its (nonzero) digits is 46656, while the sum is 34.

Adding to 101431133343223 its reverse (322343331134101), we get a palindrome (423774464477324).

The spelling of 101431133343223 in words is "one hundred one trillion, four hundred thirty-one billion, one hundred thirty-three million, three hundred forty-three thousand, two hundred twenty-three".