101133101131 has 16 divisors (see below), whose sum is σ = 107014798080. Its totient is φ = 95445250560.

The previous prime is 101133101129. The next prime is 101133101141. The reversal of 101133101131 is 131101331101.

It is a cyclic number.

It is not a de Polignac number, because 101133101131 - 2¹ = 101133101129 is a prime.

It is a super-2 number, since 2×101133101131² (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 (101133101141) 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, 49660 + ... + 452473.

It is an arithmetic number, because the mean of its divisors is an integer number (6688424880).

Almost surely, 2^101133101131 is an apocalyptic number.

101133101131 is a deficient number, since it is larger than the sum of its proper divisors (5881696949).

101133101131 is an equidigital number, since it uses as much as digits as its factorization.

101133101131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502326.

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

Adding to 101133101131 its reverse (131101331101), we get a palindrome (232234432232).

The spelling of 101133101131 in words is "one hundred one billion, one hundred thirty-three million, one hundred one thousand, one hundred thirty-one".