13402120010010 has 256 divisors, whose sum is σ = 34108896890880. Its totient is φ = 3366368501760.

The previous prime is 13402120010003. The next prime is 13402120010017. The reversal of 13402120010010 is 1001002120431.

It is an interprime number because it is at equal distance from previous prime (13402120010003) and next prime (13402120010017).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (13402120010017) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1343835384 + ... + 1343845356.

It is an arithmetic number, because the mean of its divisors is an integer number (133237878480).

Almost surely, 2^{13402120010010} is an apocalyptic number.

13402120010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13402120010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17054448445440).

13402120010010 is an abundant number, since it is smaller than the sum of its proper divisors (20706776880870).

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

13402120010010 is a wasteful number, since it uses less digits than its factorization.

13402120010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10393.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 13402120010010 its reverse (1001002120431), we get a palindrome (14403122130441).

The spelling of 13402120010010 in words is "thirteen trillion, four hundred two billion, one hundred twenty million, ten thousand, ten".