2442020133213 has 64 divisors (see below), whose sum is σ = 3681732812800. Its totient is φ = 1599571800000.

The previous prime is 2442020133139. The next prime is 2442020133257. The reversal of 2442020133213 is 3123310202442.

2442020133213 is a `hidden beast` number, since 2 + 4 + 420 + 20 + 1 + 3 + 3 + 213 = 666.

It is not a de Polignac number, because 2442020133213 - 2¹² = 2442020129117 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442020133013) 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, 153568563 + ... + 153584463.

It is an arithmetic number, because the mean of its divisors is an integer number (57527075200).

Almost surely, 2^{2442020133213} is an apocalyptic number.

It is an amenable number.

2442020133213 is a deficient number, since it is larger than the sum of its proper divisors (1239712679587).

2442020133213 is a wasteful number, since it uses less digits than its factorization.

2442020133213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16471 (or 16465 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2442020133213 its reverse (3123310202442), we get a palindrome (5565330335655).

The spelling of 2442020133213 in words is "two trillion, four hundred forty-two billion, twenty million, one hundred thirty-three thousand, two hundred thirteen".