131303022013301 has 12 divisors (see below), whose sum is σ = 139482442179780. Its totient is φ = 123578094581760.

The previous prime is 131303022013291. The next prime is 131303022013321. The reversal of 131303022013301 is 103310220303131.

It can be written as a sum of positive squares in 6 ways, for example, as 47100357220900 + 84202664792401 = 6862970^2 + 9176201^2 .

It is not a de Polignac number, because 131303022013301 - 2³⁸ = 131028144106357 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131303022013321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27769061 + ... + 32151621.

It is an arithmetic number, because the mean of its divisors is an integer number (11623536848315).

Almost surely, 2^{131303022013301} is an apocalyptic number.

It is an amenable number.

131303022013301 is a deficient number, since it is larger than the sum of its proper divisors (8179420166479).

131303022013301 is a wasteful number, since it uses less digits than its factorization.

131303022013301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4486264 (or 4486247 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 131303022013301 its reverse (103310220303131), we get a palindrome (234613242316432).

The spelling of 131303022013301 in words is "one hundred thirty-one trillion, three hundred three billion, twenty-two million, thirteen thousand, three hundred one".