101310400000000 has 468 divisors, whose sum is σ = 264351591214416. Its totient is φ = 38748160000000.

The previous prime is 101310399999871. The next prime is 101310400000021. The reversal of 101310400000000 is 4013101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36799998624 + ... + 36800001376.

Almost surely, 2^{101310400000000} is an apocalyptic number.

101310400000000 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 101310400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132175795607208).

101310400000000 is an abundant number, since it is smaller than the sum of its proper divisors (163041191214416).

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

101310400000000 is an frugal number, since it uses more digits than its factorization.

101310400000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 101310400000000 its reverse (4013101), we get a palindrome (101310404013101).

The spelling of 101310400000000 in words is "one hundred one trillion, three hundred ten billion, four hundred million", and thus it is an aban number.