101102132311331 has 8 divisors (see below), whose sum is σ = 101256723552384. Its totient is φ = 100947654786240.

The previous prime is 101102132311307. The next prime is 101102132311337. The reversal of 101102132311331 is 133113231201101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101102132311331 - 2⁶ = 101102132311267 is a prime.

It is a super-2 number, since 2×101102132311331² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101102132311297 and 101102132311306.

It is not an unprimeable number, because it can be changed into a prime (101102132311337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26649395 + ... + 30205868.

It is an arithmetic number, because the mean of its divisors is an integer number (12657090444048).

Almost surely, 2^{101102132311331} is an apocalyptic number.

101102132311331 is a deficient number, since it is larger than the sum of its proper divisors (154591241053).

101102132311331 is a wasteful number, since it uses less digits than its factorization.

101102132311331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56857981.

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

Adding to 101102132311331 its reverse (133113231201101), we get a palindrome (234215363512432).

The spelling of 101102132311331 in words is "one hundred one trillion, one hundred two billion, one hundred thirty-two million, three hundred eleven thousand, three hundred thirty-one".