101133211213131 has 32 divisors (see below), whose sum is σ = 135103461696000. Its totient is φ = 67292723289600.

The previous prime is 101133211213129. The next prime is 101133211213183. The reversal of 101133211213131 is 131312112331101.

It is not a de Polignac number, because 101133211213131 - 2¹ = 101133211213129 is a prime.

It is a super-2 number, since 2×101133211213131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101133211213631) 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, 17739553581 + ... + 17739559281.

It is an arithmetic number, because the mean of its divisors is an integer number (4221983178000).

Almost surely, 2^{101133211213131} is an apocalyptic number.

101133211213131 is a deficient number, since it is larger than the sum of its proper divisors (33970250482869).

101133211213131 is a wasteful number, since it uses less digits than its factorization.

101133211213131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11459.

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

Adding to 101133211213131 its reverse (131312112331101), we get a palindrome (232445323544232).

The spelling of 101133211213131 in words is "one hundred one trillion, one hundred thirty-three billion, two hundred eleven million, two hundred thirteen thousand, one hundred thirty-one".