10213052634456 has 128 divisors (see below), whose sum is σ = 30720121152000. Its totient is φ = 2764059697152.

The previous prime is 10213052634431. The next prime is 10213052634467. The reversal of 10213052634456 is 65443625031201.

It is a super-2 number, since 2×10213052634456² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23691270 + ... + 24118506.

It is an arithmetic number, because the mean of its divisors is an integer number (240000946500).

Almost surely, 2^{10213052634456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10213052634456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15360060576000).

10213052634456 is an abundant number, since it is smaller than the sum of its proper divisors (20507068517544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10213052634456 is a wasteful number, since it uses less digits than its factorization.

10213052634456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434761 (or 434757 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

Adding to 10213052634456 its reverse (65443625031201), we get a palindrome (75656677665657).

The spelling of 10213052634456 in words is "ten trillion, two hundred thirteen billion, fifty-two million, six hundred thirty-four thousand, four hundred fifty-six".