1312112101020 has 144 divisors (see below), whose sum is σ = 4275527911200. Its totient is φ = 299785629696.

The previous prime is 1312112100997. The next prime is 1312112101031. The reversal of 1312112101020 is 201012112131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7013656 + ... + 7198304.

It is an arithmetic number, because the mean of its divisors is an integer number (29691166050).

Almost surely, 2^{1312112101020} is an apocalyptic number.

1312112101020 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 1312112101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137763955600).

1312112101020 is an abundant number, since it is smaller than the sum of its proper divisors (2963415810180).

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

1312112101020 is a wasteful number, since it uses less digits than its factorization.

1312112101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187092 (or 187083 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1312112101020 its reverse (201012112131), we get a palindrome (1513124213151).

The spelling of 1312112101020 in words is "one trillion, three hundred twelve billion, one hundred twelve million, one hundred one thousand, twenty".