34142400133101 has 64 divisors (see below), whose sum is σ = 55818217002240. Its totient is φ = 20491851847680.

The previous prime is 34142400133081. The next prime is 34142400133133. The reversal of 34142400133101 is 10133100424143.

34142400133101 is a `hidden beast` number, since 3 + 4 + 1 + 424 + 0 + 0 + 133 + 101 = 666.

It is not a de Polignac number, because 34142400133101 - 2¹⁴ = 34142400116717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34142400133181) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45927106 + ... + 46664588.

It is an arithmetic number, because the mean of its divisors is an integer number (872159640660).

Almost surely, 2^{34142400133101} is an apocalyptic number.

It is an amenable number.

34142400133101 is a deficient number, since it is larger than the sum of its proper divisors (21675816869139).

34142400133101 is a wasteful number, since it uses less digits than its factorization.

34142400133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740763 (or 740757 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 34142400133101 its reverse (10133100424143), we get a palindrome (44275500557244).

The spelling of 34142400133101 in words is "thirty-four trillion, one hundred forty-two billion, four hundred million, one hundred thirty-three thousand, one hundred one".