101431312401 has 8 divisors (see below), whose sum is σ = 136635995104. Its totient is φ = 66923752320.

The previous prime is 101431312399. The next prime is 101431312429. The reversal of 101431312401 is 104213134101.

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

It is not a de Polignac number, because 101431312401 - 2¹ = 101431312399 is a prime.

It is a super-2 number, since 2×101431312401² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101431317401) 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, 174280315 + ... + 174280896.

It is an arithmetic number, because the mean of its divisors is an integer number (17079499388).

Almost surely, 2^101431312401 is an apocalyptic number.

It is an amenable number.

101431312401 is a deficient number, since it is larger than the sum of its proper divisors (35204682703).

101431312401 is an equidigital number, since it uses as much as digits as its factorization.

101431312401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348561311.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 101431312401 its reverse (104213134101), we get a palindrome (205644446502).

The spelling of 101431312401 in words is "one hundred one billion, four hundred thirty-one million, three hundred twelve thousand, four hundred one".