101401333525 has 24 divisors (see below), whose sum is σ = 133368283080. Its totient is φ = 76214876160.

The previous prime is 101401333459. The next prime is 101401333541. The reversal of 101401333525 is 525333104101.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 29301565329 + 72099768196 = 171177^2 + 268514^2 .

It is not a de Polignac number, because 101401333525 - 2⁹ = 101401333013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101401333493 and 101401333502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32167 + ... + 451483.

It is an arithmetic number, because the mean of its divisors is an integer number (5557011795).

Almost surely, 2^101401333525 is an apocalyptic number.

It is an amenable number.

101401333525 is a deficient number, since it is larger than the sum of its proper divisors (31966949555).

101401333525 is a wasteful number, since it uses less digits than its factorization.

101401333525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419913 (or 419908 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 101401333525 its reverse (525333104101), we get a palindrome (626734437626).

The spelling of 101401333525 in words is "one hundred one billion, four hundred one million, three hundred thirty-three thousand, five hundred twenty-five".