13403279780401 has 9 divisors (see below), whose sum is σ = 15591600168249. Its totient is φ = 11488503559764.

The previous prime is 13403279780353. The next prime is 13403279780411. The reversal of 13403279780401 is 10408797230431.

The square root of 13403279780401 is 3661049.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 13403279780401 - 2¹³ = 13403279772209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (13403279780411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25365840 + ... + 25888846.

Almost surely, 2^{13403279780401} is an apocalyptic number.

13403279780401 is the 3661049-th square number.

13403279780401 is the 1830525-th centered octagonal number.

It is an amenable number.

13403279780401 is a deficient number, since it is larger than the sum of its proper divisors (2188320387848).

13403279780401 is an frugal number, since it uses more digits than its factorization.

13403279780401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046028 (or 523014 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 49.

Multiplying 13403279780401 by its sum of digits (49), we get a square (656760709239649 = 25627343²).

13403279780401 divided by its sum of digits (49) gives a square (273536322049 = 523007²).

The spelling of 13403279780401 in words is "thirteen trillion, four hundred three billion, two hundred seventy-nine million, seven hundred eighty thousand, four hundred one".