103103332013000 has 192 divisors, whose sum is σ = 265430668230000. Its totient is φ = 37457895552000.

The previous prime is 103103332012913. The next prime is 103103332013053. The reversal of 103103332013000 is 310233301301.

It can be written as a sum of positive squares in 8 ways, for example, as 1878363445156 + 101224968567844 = 1370534^2 + 10061062^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132348626 + ... + 133125374.

Almost surely, 2^{103103332013000} is an apocalyptic number.

103103332013000 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 103103332013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132715334115000).

103103332013000 is an abundant number, since it is smaller than the sum of its proper divisors (162327336217000).

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

103103332013000 is a wasteful number, since it uses less digits than its factorization.

103103332013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777889 (or 777864 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 103103332013000 its reverse (310233301301), we get a palindrome (103413565314301).

It can be divided in two parts, 1031033 and 32013000, that added together give a palindrome (33044033).

The spelling of 103103332013000 in words is "one hundred three trillion, one hundred three billion, three hundred thirty-two million, thirteen thousand".