10413335130000 has 800 divisors, whose sum is σ = 39645857264640. Its totient is φ = 2326890240000.

The previous prime is 10413335129881. The next prime is 10413335130031. The reversal of 10413335130000 is 3153331401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 231967557 + ... + 232012443.

Almost surely, 2^{10413335130000} is an apocalyptic number.

10413335130000 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 10413335130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19822928632320).

10413335130000 is an abundant number, since it is smaller than the sum of its proper divisors (29232522134640).

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

10413335130000 is a wasteful number, since it uses less digits than its factorization.

10413335130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44985 (or 44964 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 10413335130000 its reverse (3153331401), we get a palindrome (10416488461401).

The spelling of 10413335130000 in words is "ten trillion, four hundred thirteen billion, three hundred thirty-five million, one hundred thirty thousand".