103213103112000 has 1344 divisors, whose sum is σ = 426871748459520. Its totient is φ = 23317493760000.

The previous prime is 103213103111981. The next prime is 103213103112019. The reversal of 103213103112000 is 211301312301.

103213103112000 is a `hidden beast` number, since 1 + 0 + 3 + 21 + 310 + 311 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (103213103111981) and next prime (103213103112019).

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 37007206606 + ... + 37007209394.

It is an arithmetic number, because the mean of its divisors is an integer number (317612908080).

Almost surely, 2^{103213103112000} is an apocalyptic number.

103213103112000 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 103213103112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213435874229760).

103213103112000 is an abundant number, since it is smaller than the sum of its proper divisors (323658645347520).

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

103213103112000 is a wasteful number, since it uses less digits than its factorization.

103213103112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103213103112000 its reverse (211301312301), we get a palindrome (103424404424301).

The spelling of 103213103112000 in words is "one hundred three trillion, two hundred thirteen billion, one hundred three million, one hundred twelve thousand".