125313212773100 has 144 divisors (see below), whose sum is σ = 301394266782336. Its totient is φ = 44841187776000.

The previous prime is 125313212773081. The next prime is 125313212773117. The reversal of 125313212773100 is 1377212313521.

It is a super-2 number, since 2×125313212773100² (a number of 29 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 69344015 + ... + 71128185.

It is an arithmetic number, because the mean of its divisors is an integer number (2093015741544).

Almost surely, 2^{125313212773100} is an apocalyptic number.

125313212773100 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 125313212773100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150697133391168).

125313212773100 is an abundant number, since it is smaller than the sum of its proper divisors (176081054009236).

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

125313212773100 is a wasteful number, since it uses less digits than its factorization.

125313212773100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785216 (or 1785209 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The spelling of 125313212773100 in words is "one hundred twenty-five trillion, three hundred thirteen billion, two hundred twelve million, seven hundred seventy-three thousand, one hundred".