101133211312 has 60 divisors (see below), whose sum is σ = 237847049136. Its totient is φ = 41458327680.

The previous prime is 101133211303. The next prime is 101133211339. The reversal of 101133211312 is 213112331101.

It is a super-2 number, since 2×101133211312² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101133211312.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2786239 + ... + 2822302.

Almost surely, 2^101133211312 is an apocalyptic number.

It is an amenable number.

101133211312 is an abundant number, since it is smaller than the sum of its proper divisors (136713837824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101133211312 is a wasteful number, since it uses less digits than its factorization.

101133211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5608586 (or 5608573 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 101133211312 its reverse (213112331101), we get a palindrome (314245542413).

It can be divided in two parts, 101133 and 211312, that added together give a triangular number (312445 = T₇₉₀).

The spelling of 101133211312 in words is "one hundred one billion, one hundred thirty-three million, two hundred eleven thousand, three hundred twelve".