101130231132 has 240 divisors, whose sum is σ = 312238080000. Its totient is φ = 28526123808.

The previous prime is 101130231109. The next prime is 101130231149. The reversal of 101130231132 is 231132031101.

101130231132 is a `hidden beast` number, since 10 + 11 + 302 + 311 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8773669 + ... + 8785187.

It is an arithmetic number, because the mean of its divisors is an integer number (1300992000).

Almost surely, 2^101130231132 is an apocalyptic number.

101130231132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101130231132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156119040000).

101130231132 is an abundant number, since it is smaller than the sum of its proper divisors (211107848868).

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

101130231132 is a wasteful number, since it uses less digits than its factorization.

101130231132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11635 (or 11610 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101130231132 its reverse (231132031101), we get a palindrome (332262262233).

The spelling of 101130231132 in words is "one hundred one billion, one hundred thirty million, two hundred thirty-one thousand, one hundred thirty-two".