101332131131 has 16 divisors (see below), whose sum is σ = 126343300608. Its totient is φ = 78955641600.

The previous prime is 101332131101. The next prime is 101332131161. The reversal of 101332131131 is 131131233101.

It is an interprime number because it is at equal distance from previous prime (101332131101) and next prime (101332131161).

It is not a de Polignac number, because 101332131131 - 2¹⁴ = 101332114747 is a prime.

It is a super-2 number, since 2×101332131131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101332131101) 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, 2215211 + ... + 2260491.

It is an arithmetic number, because the mean of its divisors is an integer number (7896456288).

Almost surely, 2^101332131131 is an apocalyptic number.

101332131131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101332131131 is a deficient number, since it is larger than the sum of its proper divisors (25011169477).

101332131131 is a wasteful number, since it uses less digits than its factorization.

101332131131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74362.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 101332131131 its reverse (131131233101), we get a palindrome (232463364232).

The spelling of 101332131131 in words is "one hundred one billion, three hundred thirty-two million, one hundred thirty-one thousand, one hundred thirty-one".