101303103312 has 120 divisors (see below), whose sum is σ = 291441578688. Its totient is φ = 32835801600.

The previous prime is 101303103299. The next prime is 101303103367. The reversal of 101303103312 is 213301303101.

It is a happy number.

101303103312 is a `hidden beast` number, since 10 + 1 + 30 + 310 + 3 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 678487 + ... + 814217.

Almost surely, 2^101303103312 is an apocalyptic number.

101303103312 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 101303103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145720789344).

101303103312 is an abundant number, since it is smaller than the sum of its proper divisors (190138475376).

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

101303103312 is a wasteful number, since it uses less digits than its factorization.

101303103312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135889 (or 135880 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101303103312 its reverse (213301303101), we get a palindrome (314604406413).

The spelling of 101303103312 in words is "one hundred one billion, three hundred three million, one hundred three thousand, three hundred twelve".