101132121331131 has 32 divisors (see below), whose sum is σ = 147259639557888. Its totient is φ = 61226215424640.

The previous prime is 101132121331127. The next prime is 101132121331133. The reversal of 101132121331131 is 131133121231101.

It is not a de Polignac number, because 101132121331131 - 2² = 101132121331127 is a prime.

It is a super-2 number, since 2×101132121331131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101132121331133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478044480 + ... + 478255986.

It is an arithmetic number, because the mean of its divisors is an integer number (4601863736184).

Almost surely, 2^{101132121331131} is an apocalyptic number.

101132121331131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101132121331131 is a deficient number, since it is larger than the sum of its proper divisors (46127518226757).

101132121331131 is a wasteful number, since it uses less digits than its factorization.

101132121331131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227051.

The product of its (nonzero) digits is 324, while the sum is 24.

Adding to 101132121331131 its reverse (131133121231101), we get a palindrome (232265242562232).

The spelling of 101132121331131 in words is "one hundred one trillion, one hundred thirty-two billion, one hundred twenty-one million, three hundred thirty-one thousand, one hundred thirty-one".