513142201131 has 24 divisors (see below), whose sum is σ = 812827952640. Its totient is φ = 286985300112.

The previous prime is 513142201127. The next prime is 513142201183. The reversal of 513142201131 is 131102241315.

It is not a de Polignac number, because 513142201131 - 2² = 513142201127 is a prime.

It is a super-2 number, since 2×513142201131² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (513142201531) 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 23 ways as a sum of consecutive naturals, for example, 37128871 + ... + 37142688.

It is an arithmetic number, because the mean of its divisors is an integer number (33867831360).

Almost surely, 2^513142201131 is an apocalyptic number.

513142201131 is a deficient number, since it is larger than the sum of its proper divisors (299685751509).

513142201131 is a wasteful number, since it uses less digits than its factorization.

513142201131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74271623 (or 74271616 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 513142201131 its reverse (131102241315), we get a palindrome (644244442446).

The spelling of 513142201131 in words is "five hundred thirteen billion, one hundred forty-two million, two hundred one thousand, one hundred thirty-one".