1301040401031 has 72 divisors (see below), whose sum is σ = 2232231603264. Its totient is φ = 727912604160.

The previous prime is 1301040401027. The next prime is 1301040401041.

1301040401031 is a `hidden beast` number, since 130 + 104 + 0 + 401 + 0 + 31 = 666.

1301040401031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1301040401031 - 2² = 1301040401027 is a prime.

It is a super-2 number, since 2×1301040401031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1301040400995 and 1301040401013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301040401041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4262946 + ... + 4557936.

It is an arithmetic number, because the mean of its divisors is an integer number (31003216712).

Almost surely, 2^{1301040401031} is an apocalyptic number.

1301040401031 is a deficient number, since it is larger than the sum of its proper divisors (931191202233).

1301040401031 is a wasteful number, since it uses less digits than its factorization.

1301040401031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295221 (or 295211 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 1301040 and 401031, that added together give a palindrome (1702071).

The spelling of 1301040401031 in words is "one trillion, three hundred one billion, forty million, four hundred one thousand, thirty-one".