10002434013 has 32 divisors (see below), whose sum is σ = 17409060480. Its totient is φ = 5595765120.

The previous prime is 10002434009. The next prime is 10002434027. The reversal of 10002434013 is 31043420001.

It is not a de Polignac number, because 10002434013 - 2² = 10002434009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002434003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1291456 + ... + 1299177.

It is an arithmetic number, because the mean of its divisors is an integer number (544033140).

Almost surely, 2^10002434013 is an apocalyptic number.

10002434013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10002434013 is a deficient number, since it is larger than the sum of its proper divisors (7406626467).

10002434013 is a wasteful number, since it uses less digits than its factorization.

10002434013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590666 (or 2590660 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10002434013 its reverse (31043420001), we get a palindrome (41045854014).

The spelling of 10002434013 in words is "ten billion, two million, four hundred thirty-four thousand, thirteen".