130031322011311 has 64 divisors (see below), whose sum is σ = 167742199296000. Its totient is φ = 98111322316800.

The previous prime is 130031322011309. The next prime is 130031322011359. The reversal of 130031322011311 is 113110223130031.

It is a cyclic number.

It is not a de Polignac number, because 130031322011311 - 2¹ = 130031322011309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130031322011011) 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 63 ways as a sum of consecutive naturals, for example, 2482956535 + ... + 2483008903.

It is an arithmetic number, because the mean of its divisors is an integer number (2620971864000).

Almost surely, 2^{130031322011311} is an apocalyptic number.

130031322011311 is a deficient number, since it is larger than the sum of its proper divisors (37710877284689).

130031322011311 is a wasteful number, since it uses less digits than its factorization.

130031322011311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66392.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 130031322011311 its reverse (113110223130031), we get a palindrome (243141545141342).

The spelling of 130031322011311 in words is "one hundred thirty trillion, thirty-one billion, three hundred twenty-two million, eleven thousand, three hundred eleven".