103011331012000 has 48 divisors (see below), whose sum is σ = 253098840306312. Its totient is φ = 41204532403200.

The previous prime is 103011331011907. The next prime is 103011331012043. The reversal of 103011331012000 is 210133110301.

It can be written as a sum of positive squares in 4 ways, for example, as 21698044669456 + 81313286342544 = 4658116^2 + 9017388^2 .

It is a super-2 number, since 2×103011331012000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12876412377 + ... + 12876420376.

Almost surely, 2^{103011331012000} is an apocalyptic number.

103011331012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103011331012000 is an abundant number, since it is smaller than the sum of its proper divisors (150087509294312).

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

103011331012000 is an equidigital number, since it uses as much as digits as its factorization.

103011331012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25752832778 (or 25752832760 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 103011331012000 its reverse (210133110301), we get a palindrome (103221464122301).

The spelling of 103011331012000 in words is "one hundred three trillion, eleven billion, three hundred thirty-one million, twelve thousand".