125261033104130 has 288 divisors, whose sum is σ = 296172055310976. Its totient is φ = 37716585984000.

The previous prime is 125261033104117. The next prime is 125261033104247. The reversal of 125261033104130 is 31401330162521.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2988717875 + ... + 2988759785.

It is an arithmetic number, because the mean of its divisors is an integer number (1028375192052).

Almost surely, 2^{125261033104130} is an apocalyptic number.

125261033104130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

125261033104130 is an abundant number, since it is smaller than the sum of its proper divisors (170911022206846).

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

125261033104130 is a wasteful number, since it uses less digits than its factorization.

125261033104130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42582 (or 42544 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 125261033104130 its reverse (31401330162521), we get a palindrome (156662363266651).

The spelling of 125261033104130 in words is "one hundred twenty-five trillion, two hundred sixty-one billion, thirty-three million, one hundred four thousand, one hundred thirty".