10415313011202 has 128 divisors (see below), whose sum is σ = 23596922384640. Its totient is φ = 3037806720000.

The previous prime is 10415313011143. The next prime is 10415313011203. The reversal of 10415313011202 is 20211031351401.

It is not an unprimeable number, because it can be changed into a prime (10415313011203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38374252 + ... + 38644712.

It is an arithmetic number, because the mean of its divisors is an integer number (184350956130).

Almost surely, 2^{10415313011202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10415313011202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11798461192320).

10415313011202 is an abundant number, since it is smaller than the sum of its proper divisors (13181609373438).

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

10415313011202 is a wasteful number, since it uses less digits than its factorization.

10415313011202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270740.

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 10415313011202 its reverse (20211031351401), we get a palindrome (30626344362603).

The spelling of 10415313011202 in words is "ten trillion, four hundred fifteen billion, three hundred thirteen million, eleven thousand, two hundred two".