101013312 has 56 divisors (see below), whose sum is σ = 270963136. Its totient is φ = 33205248.

The previous prime is 101013307. The next prime is 101013317. The reversal of 101013312 is 213310101.

It is an interprime number because it is at equal distance from previous prime (101013307) and next prime (101013317).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101013317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10413 + ... + 17619.

Almost surely, 2^101013312 is an apocalyptic number.

101013312 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 101013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135481568).

101013312 is an abundant number, since it is smaller than the sum of its proper divisors (169949824).

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

101013312 is an equidigital number, since it uses as much as digits as its factorization.

101013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7295 (or 7285 counting only the distinct ones).

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

The square root of 101013312 is about 10050.5378960531. The cubic root of 101013312 is about 465.7214099841.

Adding to 101013312 its reverse (213310101), we get a palindrome (314323413).

The spelling of 101013312 in words is "one hundred one million, thirteen thousand, three hundred twelve".