101131232313113 has 2 divisors, whose sum is σ = 101131232313114. Its totient is φ = 101131232313112.

The previous prime is 101131232313101. The next prime is 101131232313149. The reversal of 101131232313113 is 311313232131101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58674175248649 + 42457057064464 = 7659907^2 + 6515908^2 .

It is a cyclic number.

It is not a de Polignac number, because 101131232313113 - 2⁶ = 101131232313049 is a prime.

It is a super-2 number, since 2×101131232313113² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101131232313313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50565616156556 + 50565616156557.

It is an arithmetic number, because the mean of its divisors is an integer number (50565616156557).

Almost surely, 2^{101131232313113} is an apocalyptic number.

It is an amenable number.

101131232313113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101131232313113 is an equidigital number, since it uses as much as digits as its factorization.

101131232313113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 26.

Adding to 101131232313113 its reverse (311313232131101), we get a palindrome (412444464444214).

The spelling of 101131232313113 in words is "one hundred one trillion, one hundred thirty-one billion, two hundred thirty-two million, three hundred thirteen thousand, one hundred thirteen".