102400041432213 has 40 divisors (see below), whose sum is σ = 176622802880832. Its totient is φ = 57911069055744.

The previous prime is 102400041432197. The next prime is 102400041432223. The reversal of 102400041432213 is 312234140004201.

102400041432213 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 0 + 0 + 0 + 414 + 32 + 213 = 666.

It is not a de Polignac number, because 102400041432213 - 2⁴ = 102400041432197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102400041432223) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 930871395 + ... + 930981392.

Almost surely, 2^{102400041432213} is an apocalyptic number.

It is an amenable number.

102400041432213 is a deficient number, since it is larger than the sum of its proper divisors (74222761448619).

102400041432213 is an equidigital number, since it uses as much as digits as its factorization.

102400041432213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861852903 (or 1861852894 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 102400041432213 its reverse (312234140004201), we get a palindrome (414634181436414).

The spelling of 102400041432213 in words is "one hundred two trillion, four hundred billion, forty-one million, four hundred thirty-two thousand, two hundred thirteen".