10201413310420 has 24 divisors (see below), whose sum is σ = 21480402198024. Its totient is φ = 4069625467776.

The previous prime is 10201413310343. The next prime is 10201413310433. The reversal of 10201413310420 is 2401331410201.

It can be written as a sum of positive squares in 4 ways, for example, as 719127744196 + 9482285566224 = 848014^2 + 3079332^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10201413310391 and 10201413310400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 683733379 + ... + 683748298.

It is an arithmetic number, because the mean of its divisors is an integer number (895016758251).

Almost surely, 2^{10201413310420} is an apocalyptic number.

10201413310420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201413310420 is an abundant number, since it is smaller than the sum of its proper divisors (11278988887604).

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

10201413310420 is a wasteful number, since it uses less digits than its factorization.

10201413310420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367482059 (or 1367482057 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10201413310420 its reverse (2401331410201), we get a palindrome (12602744720621).

It can be divided in two parts, 1020141 and 3310420, that added together give a square (4330561 = 2081²).

The spelling of 10201413310420 in words is "ten trillion, two hundred one billion, four hundred thirteen million, three hundred ten thousand, four hundred twenty".