1002131414013 has 16 divisors (see below), whose sum is σ = 1366102573056. Its totient is φ = 653155142640.

The previous prime is 1002131413963. The next prime is 1002131414041. The reversal of 1002131414013 is 3104141312001.

It is not a de Polignac number, because 1002131414013 - 2¹⁴ = 1002131397629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002131434013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3772381 + ... + 4029282.

It is an arithmetic number, because the mean of its divisors is an integer number (85381410816).

Almost surely, 2^{1002131414013} is an apocalyptic number.

It is an amenable number.

1002131414013 is a deficient number, since it is larger than the sum of its proper divisors (363971159043).

1002131414013 is an equidigital number, since it uses as much as digits as its factorization.

1002131414013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7802624.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1002131414013 its reverse (3104141312001), we get a palindrome (4106272726014).

The spelling of 1002131414013 in words is "one trillion, two billion, one hundred thirty-one million, four hundred fourteen thousand, thirteen".