10402021214013 has 64 divisors (see below), whose sum is σ = 16382564352000. Its totient is φ = 5787732994560.

The previous prime is 10402021213973. The next prime is 10402021214023. The reversal of 10402021214013 is 31041212020401.

It is not a de Polignac number, because 10402021214013 - 2¹⁴ = 10402021197629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10402021214023) 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, 223392628 + ... + 223439186.

It is an arithmetic number, because the mean of its divisors is an integer number (255977568000).

Almost surely, 2^{10402021214013} is an apocalyptic number.

10402021214013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10402021214013 is a deficient number, since it is larger than the sum of its proper divisors (5980543137987).

10402021214013 is a wasteful number, since it uses less digits than its factorization.

10402021214013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49402.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10402021214013 its reverse (31041212020401), we get a palindrome (41443233234414).

The spelling of 10402021214013 in words is "ten trillion, four hundred two billion, twenty-one million, two hundred fourteen thousand, thirteen".