101130312 has 64 divisors (see below), whose sum is σ = 267264000. Its totient is φ = 31800384.

The previous prime is 101130299. The next prime is 101130317. The reversal of 101130312 is 213031101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101130317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210889 + ... + 211367.

It is an arithmetic number, because the mean of its divisors is an integer number (4176000).

Almost surely, 2^101130312 is an apocalyptic number.

101130312 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 101130312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133632000).

101130312 is an abundant number, since it is smaller than the sum of its proper divisors (166133688).

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

101130312 is a wasteful number, since it uses less digits than its factorization.

101130312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 101130312 is about 10056.3567955796. The cubic root of 101130312 is about 465.9011499270.

Adding to 101130312 its reverse (213031101), we get a palindrome (314161413).

The spelling of 101130312 in words is "one hundred one million, one hundred thirty thousand, three hundred twelve".