13135632300 has 252 divisors, whose sum is σ = 48844106416. Its totient is φ = 3002313600.

The previous prime is 13135632287. The next prime is 13135632313. The reversal of 13135632300 is 323653131.

It is a happy number.

13135632300 is a `hidden beast` number, since 1 + 3 + 1 + 356 + 3 + 2 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (13135632287) and next prime (13135632313).

It is a tau number, because it is divible by the number of its divisors (252).

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 497430 + ... + 523170.

Almost surely, 2^13135632300 is an apocalyptic number.

13135632300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13135632300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24422053208).

13135632300 is an abundant number, since it is smaller than the sum of its proper divisors (35708474116).

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

13135632300 is a wasteful number, since it uses less digits than its factorization.

13135632300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25780 (or 25758 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The spelling of 13135632300 in words is "thirteen billion, one hundred thirty-five million, six hundred thirty-two thousand, three hundred".