101301013312 has 56 divisors (see below), whose sum is σ = 212945097096. Its totient is φ = 47648391168.

The previous prime is 101301013273. The next prime is 101301013349. The reversal of 101301013312 is 213310103101.

It can be written as a sum of positive squares in 4 ways, for example, as 30812887296 + 70488126016 = 175536^2 + 265496^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2386708 + ... + 2428780.

Almost surely, 2^101301013312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101301013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106472548548).

101301013312 is an abundant number, since it is smaller than the sum of its proper divisors (111644083784).

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

101301013312 is a wasteful number, since it uses less digits than its factorization.

101301013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44315 (or 44305 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 101301013312 its reverse (213310103101), we get a palindrome (314611116413).

The spelling of 101301013312 in words is "one hundred one billion, three hundred one million, thirteen thousand, three hundred twelve".