101313441825 has 24 divisors (see below), whose sum is σ = 177358121568. Its totient is φ = 50855374080.

The previous prime is 101313441781. The next prime is 101313441829. The reversal of 101313441825 is 528144313101.

It is not a de Polignac number, because 101313441825 - 2¹⁶ = 101313376289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101313441829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39729487 + ... + 39732036.

It is an arithmetic number, because the mean of its divisors is an integer number (7389921732).

Almost surely, 2^101313441825 is an apocalyptic number.

101313441825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101313441825 is a deficient number, since it is larger than the sum of its proper divisors (76044679743).

101313441825 is a wasteful number, since it uses less digits than its factorization.

101313441825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79461553 (or 79461548 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

Adding to 101313441825 its reverse (528144313101), we get a palindrome (629457754926).

The spelling of 101313441825 in words is "one hundred one billion, three hundred thirteen million, four hundred forty-one thousand, eight hundred twenty-five".