13103010000 has 150 divisors (see below), whose sum is σ = 45823433370. Its totient is φ = 3494112000.

The previous prime is 13103009993. The next prime is 13103010007. The reversal of 13103010000 is 1030131.

It is an interprime number because it is at equal distance from previous prime (13103009993) and next prime (13103010007).

It can be written as a sum of positive squares in 5 ways, for example, as 8925714576 + 4177295424 = 94476^2 + 64632^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13103010007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 17206 + ... + 162794.

Almost surely, 2^13103010000 is an apocalyptic number.

13103010000 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 13103010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22911716685).

13103010000 is an abundant number, since it is smaller than the sum of its proper divisors (32720423370).

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

13103010000 is a wasteful number, since it uses less digits than its factorization.

13103010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145623 (or 145599 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 13103010000 its reverse (1030131), we get a palindrome (13104040131).

The spelling of 13103010000 in words is "thirteen billion, one hundred three million, ten thousand".