100131223132311 has 96 divisors (see below), whose sum is σ = 163443156092928. Its totient is φ = 54293120743680.

The previous prime is 100131223132279. The next prime is 100131223132319. The reversal of 100131223132311 is 113231322131001.

It is not a de Polignac number, because 100131223132311 - 2⁵ = 100131223132279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131223132319) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 385579236 + ... + 385838838.

It is an arithmetic number, because the mean of its divisors is an integer number (1702532875968).

Almost surely, 2^{100131223132311} is an apocalyptic number.

100131223132311 is a deficient number, since it is larger than the sum of its proper divisors (63311932960617).

100131223132311 is a wasteful number, since it uses less digits than its factorization.

100131223132311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261301 (or 261294 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 100131223132311 its reverse (113231322131001), we get a palindrome (213362545263312).

The spelling of 100131223132311 in words is "one hundred trillion, one hundred thirty-one billion, two hundred twenty-three million, one hundred thirty-two thousand, three hundred eleven".