101051551413 has 12 divisors (see below), whose sum is σ = 146461524300. Its totient is φ = 67137775296.

The previous prime is 101051551409. The next prime is 101051551417. The reversal of 101051551413 is 314155150101.

101051551413 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 515 + 5 + 141 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (101051551409) and next prime (101051551417).

It can be written as a sum of positive squares in 2 ways, for example, as 74866809924 + 26184741489 = 273618^2 + 161817^2 .

It is not a de Polignac number, because 101051551413 - 2² = 101051551409 is a prime.

It is a super-2 number, since 2×101051551413² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101051551417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19157688 + ... + 19162961.

It is an arithmetic number, because the mean of its divisors is an integer number (12205127025).

Almost surely, 2^101051551413 is an apocalyptic number.

It is an amenable number.

101051551413 is a deficient number, since it is larger than the sum of its proper divisors (45409972887).

101051551413 is a wasteful number, since it uses less digits than its factorization.

101051551413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38320948 (or 38320945 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

The spelling of 101051551413 in words is "one hundred one billion, fifty-one million, five hundred fifty-one thousand, four hundred thirteen".