101011331131 has 8 divisors (see below), whose sum is σ = 106605342720. Its totient is φ = 95445082152.

The previous prime is 101011331101. The next prime is 101011331137. The reversal of 101011331131 is 131133110101.

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 101011331131 - 2¹⁹ = 101010806843 is a prime.

It is a super-2 number, since 2×101011331131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101011331137) 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, 6933175 + ... + 6947728.

It is an arithmetic number, because the mean of its divisors is an integer number (13325667840).

Almost surely, 2^101011331131 is an apocalyptic number.

101011331131 is a deficient number, since it is larger than the sum of its proper divisors (5594011589).

101011331131 is a wasteful number, since it uses less digits than its factorization.

101011331131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13881305.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 101011331131 its reverse (131133110101), we get a palindrome (232144441232).

The spelling of 101011331131 in words is "one hundred one billion, eleven million, three hundred thirty-one thousand, one hundred thirty-one".