1312142030100 has 432 divisors, whose sum is σ = 4914489827520. Its totient is φ = 289058918400.

The previous prime is 1312142030047. The next prime is 1312142030113. The reversal of 1312142030100 is 10302412131.

1312142030100 is a `hidden beast` number, since 131 + 214 + 20 + 301 + 0 + 0 = 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 143 ways as a sum of consecutive naturals, for example, 4746279 + ... + 5015121.

It is an arithmetic number, because the mean of its divisors is an integer number (11376133860).

Almost surely, 2^{1312142030100} is an apocalyptic number.

1312142030100 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 1312142030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457244913760).

1312142030100 is an abundant number, since it is smaller than the sum of its proper divisors (3602347797420).

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

1312142030100 is a wasteful number, since it uses less digits than its factorization.

1312142030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268920 (or 268910 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1312142030100 its reverse (10302412131), we get a palindrome (1322444442231).

The spelling of 1312142030100 in words is "one trillion, three hundred twelve billion, one hundred forty-two million, thirty thousand, one hundred".