101231103132113 has 6 divisors (see below), whose sum is σ = 106839474497154. Its totient is φ = 95903150335344.

The previous prime is 101231103132101. The next prime is 101231103132127. The reversal of 101231103132113 is 311231301132101.

It can be written as a sum of positive squares in only one way, i.e., 59203668249664 + 42027434882449 = 7694392^2 + 6482857^2 .

It is not a de Polignac number, because 101231103132113 - 2²² = 101231098937809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101231103132163) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140209283756 + ... + 140209284477.

It is an arithmetic number, because the mean of its divisors is an integer number (17806579082859).

Almost surely, 2^{101231103132113} is an apocalyptic number.

It is an amenable number.

101231103132113 is a deficient number, since it is larger than the sum of its proper divisors (5608371365041).

101231103132113 is an equidigital number, since it uses as much as digits as its factorization.

101231103132113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280418568271 (or 280418568252 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 101231103132113 its reverse (311231301132101), we get a palindrome (412462404264214).

The spelling of 101231103132113 in words is "one hundred one trillion, two hundred thirty-one billion, one hundred three million, one hundred thirty-two thousand, one hundred thirteen".