101331114431 has 16 divisors (see below), whose sum is σ = 108282057600. Its totient is φ = 94542627168.

The previous prime is 101331114419. The next prime is 101331114491. The reversal of 101331114431 is 134411133101.

It is a cyclic number.

It is not a de Polignac number, because 101331114431 - 2¹⁴ = 101331098047 is a prime.

It is a super-3 number, since 3×101331114431³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101331114397 and 101331114406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331114491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8042885 + ... + 8055473.

It is an arithmetic number, because the mean of its divisors is an integer number (6767628600).

Almost surely, 2^101331114431 is an apocalyptic number.

101331114431 is a deficient number, since it is larger than the sum of its proper divisors (6950943169).

101331114431 is a wasteful number, since it uses less digits than its factorization.

101331114431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18998.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 101331114431 its reverse (134411133101), we get a palindrome (235742247532).

The spelling of 101331114431 in words is "one hundred one billion, three hundred thirty-one million, one hundred fourteen thousand, four hundred thirty-one".