23430413133120 has 224 divisors, whose sum is σ = 85667930320896. Its totient is φ = 5314640947200.

The previous prime is 23430413133107. The next prime is 23430413133121. The reversal of 23430413133120 is 2133131403432.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23430413133121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12427576 + ... + 14188215.

It is an arithmetic number, because the mean of its divisors is an integer number (382446117504).

Almost surely, 2^{23430413133120} is an apocalyptic number.

23430413133120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23430413133120 is an abundant number, since it is smaller than the sum of its proper divisors (62237517187776).

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

23430413133120 is a wasteful number, since it uses less digits than its factorization.

23430413133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26615949 (or 26615939 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 23430413133120 its reverse (2133131403432), we get a palindrome (25563544536552).

The spelling of 23430413133120 in words is "twenty-three trillion, four hundred thirty billion, four hundred thirteen million, one hundred thirty-three thousand, one hundred twenty".