1301033401131 has 16 divisors (see below), whose sum is σ = 1736076416256. Its totient is φ = 866673155616.

The previous prime is 1301033401127. The next prime is 1301033401133. The reversal of 1301033401131 is 1311043301031.

It is not a de Polignac number, because 1301033401131 - 2² = 1301033401127 is a prime.

It is a super-2 number, since 2×1301033401131² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1301033401098 and 1301033401107.

It is not an unprimeable number, because it can be changed into a prime (1301033401133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44113516 + ... + 44142998.

It is an arithmetic number, because the mean of its divisors is an integer number (108504776016).

Almost surely, 2^{1301033401131} is an apocalyptic number.

1301033401131 is a deficient number, since it is larger than the sum of its proper divisors (435043015125).

1301033401131 is a wasteful number, since it uses less digits than its factorization.

1301033401131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40562.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1301033401131 its reverse (1311043301031), we get a palindrome (2612076702162).

The spelling of 1301033401131 in words is "one trillion, three hundred one billion, thirty-three million, four hundred one thousand, one hundred thirty-one".