101132312231000 has 256 divisors, whose sum is σ = 251299393488000. Its totient is φ = 37962705715200.

The previous prime is 101132312230913. The next prime is 101132312231009. The reversal of 101132312231000 is 132213231101.

It is a happy number.

It is a super-2 number, since 2×101132312231000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101132312231009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8723561204 + ... + 8723572796.

Almost surely, 2^{101132312231000} is an apocalyptic number.

101132312231000 is a gapful number since it is divisible by the number (10) 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 101132312231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125649696744000).

101132312231000 is an abundant number, since it is smaller than the sum of its proper divisors (150167081257000).

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

101132312231000 is a wasteful number, since it uses less digits than its factorization.

101132312231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13079 (or 13065 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 101132312231000 its reverse (132213231101), we get a palindrome (101264525462101).

The spelling of 101132312231000 in words is "one hundred one trillion, one hundred thirty-two billion, three hundred twelve million, two hundred thirty-one thousand".