1312358401 has 16 divisors (see below), whose sum is σ = 1409462208. Its totient is φ = 1217536000.

The previous prime is 1312358389. The next prime is 1312358429. The reversal of 1312358401 is 1048532131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1312358401 - 2⁷ = 1312358273 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1312358401.

It is not an unprimeable number, because it can be changed into a prime (1312358471) 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, 903726 + ... + 905176.

It is an arithmetic number, because the mean of its divisors is an integer number (88091388).

It is a Proth number, since it is equal to 20025 ⋅ 2¹⁶ + 1 and 20025 < 2¹⁶.

Almost surely, 2^1312358401 is an apocalyptic number.

It is an amenable number.

1312358401 is a deficient number, since it is larger than the sum of its proper divisors (97103807).

1312358401 is a wasteful number, since it uses less digits than its factorization.

1312358401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 1312358401 is about 36226.4875608994. The cubic root of 1312358401 is about 1094.8404098715.

It can be divided in two parts, 131 and 2358401, that added together give a palindrome (2358532).

The spelling of 1312358401 in words is "one billion, three hundred twelve million, three hundred fifty-eight thousand, four hundred one".