10131133133521 has 2 divisors, whose sum is σ = 10131133133522. Its totient is φ = 10131133133520.

The previous prime is 10131133133483. The next prime is 10131133133551. The reversal of 10131133133521 is 12533133113101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5205862836496 + 4925270297025 = 2281636^2 + 2219295^2 .

It is an emirp because it is prime and its reverse (12533133113101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10131133133521 - 2¹¹ = 10131133131473 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10131133133521.

It is not a weakly prime, because it can be changed into another prime (10131133133551) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065566566760 + 5065566566761.

It is an arithmetic number, because the mean of its divisors is an integer number (5065566566761).

Almost surely, 2^{10131133133521} is an apocalyptic number.

It is an amenable number.

10131133133521 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131133133521 is an equidigital number, since it uses as much as digits as its factorization.

10131133133521 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2430, while the sum is 28.

Adding to 10131133133521 its reverse (12533133113101), we get a palindrome (22664266246622).

The spelling of 10131133133521 in words is "ten trillion, one hundred thirty-one billion, one hundred thirty-three million, one hundred thirty-three thousand, five hundred twenty-one".