20135133153102 has 128 divisors (see below), whose sum is σ = 46287150354432. Its totient is φ = 5779590924800.

The previous prime is 20135133153101. The next prime is 20135133153103.

20135133153102 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (20135133153101) and next prime (20135133153103).

It is a self number, because there is not a number n which added to its sum of digits gives 20135133153102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20135133153101) 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, 199443577 + ... + 199544507.

It is an arithmetic number, because the mean of its divisors is an integer number (361618362144).

Almost surely, 2^{20135133153102} is an apocalyptic number.

20135133153102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20135133153102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23143575177216).

20135133153102 is an abundant number, since it is smaller than the sum of its proper divisors (26152017201330).

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

20135133153102 is a wasteful number, since it uses less digits than its factorization.

20135133153102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102246.

The product of its (nonzero) digits is 8100, while the sum is 30.

It can be divided in two parts, 2013513 and 3153102, that added together give a palindrome (5166615).

The spelling of 20135133153102 in words is "twenty trillion, one hundred thirty-five billion, one hundred thirty-three million, one hundred fifty-three thousand, one hundred two".