131366460401 has 16 divisors (see below), whose sum is σ = 144596104128. Its totient is φ = 118354272000.

The previous prime is 131366460397. The next prime is 131366460419. The reversal of 131366460401 is 104064663131.

It is a cyclic number.

It is not a de Polignac number, because 131366460401 - 2² = 131366460397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131366400401) 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, 833186 + ... + 978228.

It is an arithmetic number, because the mean of its divisors is an integer number (9037256508).

Almost surely, 2^131366460401 is an apocalyptic number.

131366460401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131366460401 is a deficient number, since it is larger than the sum of its proper divisors (13229643727).

131366460401 is a wasteful number, since it uses less digits than its factorization.

131366460401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145792.

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 131366460401 in words is "one hundred thirty-one billion, three hundred sixty-six million, four hundred sixty thousand, four hundred one".