130420432413100 has 144 divisors (see below), whose sum is σ = 306938654668800. Its totient is φ = 47942872427520.

The previous prime is 130420432413091. The next prime is 130420432413127. The reversal of 130420432413100 is 1314234024031.

It is a happy number.

130420432413100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×130420432413100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3628621 + ... + 16553179.

It is an arithmetic number, because the mean of its divisors is an integer number (2131518435200).

Almost surely, 2^{130420432413100} is an apocalyptic number.

130420432413100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130420432413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153469327334400).

130420432413100 is an abundant number, since it is smaller than the sum of its proper divisors (176518222255700).

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

130420432413100 is a wasteful number, since it uses less digits than its factorization.

130420432413100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12924752 (or 12924745 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 130420432413100 its reverse (1314234024031), we get a palindrome (131734666437131).

The spelling of 130420432413100 in words is "one hundred thirty trillion, four hundred twenty billion, four hundred thirty-two million, four hundred thirteen thousand, one hundred".