103140132000000 has 1008 divisors, whose sum is σ = 362281587736320. Its totient is φ = 25977369600000.

The previous prime is 103140131999939. The next prime is 103140132000067. The reversal of 103140132000000 is 231041301.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 124715999587 + ... + 124716000413.

It is an arithmetic number, because the mean of its divisors is an integer number (359406337040).

Almost surely, 2^{103140132000000} is an apocalyptic number.

103140132000000 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 103140132000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181140793868160).

103140132000000 is an abundant number, since it is smaller than the sum of its proper divisors (259141455736320).

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

103140132000000 is an frugal number, since it uses more digits than its factorization.

103140132000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 103140132000000 its reverse (231041301), we get a palindrome (103140363041301).

The spelling of 103140132000000 in words is "one hundred three trillion, one hundred forty billion, one hundred thirty-two million", and thus it is an aban number.