103011213132000 has 960 divisors, whose sum is σ = 384651154375488. Its totient is φ = 26993502720000.

The previous prime is 103011213131921. The next prime is 103011213132071. The reversal of 103011213132000 is 231312110301.

103011213132000 is a `hidden beast` number, since 1 + 0 + 30 + 1 + 121 + 313 + 200 + 0 = 666.

It is a super-2 number, since 2×103011213132000² (a number of 29 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 29507650255 + ... + 29507653745.

Almost surely, 2^{103011213132000} is an apocalyptic number.

103011213132000 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 103011213132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192325577187744).

103011213132000 is an abundant number, since it is smaller than the sum of its proper divisors (281639941243488).

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

103011213132000 is a wasteful number, since it uses less digits than its factorization.

103011213132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5082 (or 5055 counting only the distinct ones).

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

Adding to 103011213132000 its reverse (231312110301), we get a palindrome (103242525242301).

The spelling of 103011213132000 in words is "one hundred three trillion, eleven billion, two hundred thirteen million, one hundred thirty-two thousand".