101026413 has 8 divisors (see below), whose sum is σ = 149668800. Its totient is φ = 67350924.

The previous prime is 101026411. The next prime is 101026421. The reversal of 101026413 is 314620101.

It is a happy number.

101026413 is a `hidden beast` number, since 10 + 10 + 2 + 641 + 3 = 666.

It is not a de Polignac number, because 101026413 - 2¹ = 101026411 is a prime.

It is a super-3 number, since 3×101026413³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101026411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1870833 + ... + 1870886.

It is an arithmetic number, because the mean of its divisors is an integer number (18708600).

Almost surely, 2^101026413 is an apocalyptic number.

It is an amenable number.

101026413 is a deficient number, since it is larger than the sum of its proper divisors (48642387).

101026413 is an equidigital number, since it uses as much as digits as its factorization.

101026413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3741728 (or 3741722 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 101026413 is about 10051.1896310835. The cubic root of 101026413 is about 465.7415431471.

Adding to 101026413 its reverse (314620101), we get a palindrome (415646514).

The spelling of 101026413 in words is "one hundred one million, twenty-six thousand, four hundred thirteen".