101132232033312 has 192 divisors, whose sum is σ = 299170029312000. Its totient is φ = 33230775271680.

The previous prime is 101132232033269. The next prime is 101132232033319. The reversal of 101132232033312 is 213330232231101.

101132232033312 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 3 + 2 + 2 + 320 + 3 + 331 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101132232033319) 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, 404684143 + ... + 404933969.

It is an arithmetic number, because the mean of its divisors is an integer number (1558177236000).

Almost surely, 2^{101132232033312} is an apocalyptic number.

101132232033312 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 101132232033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149585014656000).

101132232033312 is an abundant number, since it is smaller than the sum of its proper divisors (198037797278688).

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

101132232033312 is a wasteful number, since it uses less digits than its factorization.

101132232033312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256516 (or 256502 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 101132232033312 its reverse (213330232231101), we get a palindrome (314462464264413).

The spelling of 101132232033312 in words is "one hundred one trillion, one hundred thirty-two billion, two hundred thirty-two million, thirty-three thousand, three hundred twelve".