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131130021330 = 2325711199710267
BaseRepresentation
bin111101000011111110…
…1010101010111010010
3110112110200021021110200
41322013331111113102
54122023241140310
6140123523240030
712321344535120
oct1720775252722
9415420237420
10131130021330
1150680529960
12214b7219016
13c49a0370c9
1464bd5c0910
1536271799c0
hex1e87f555d2

131130021330 has 384 divisors, whose sum is σ = 452094289920. Its totient is φ = 25545093120.

The previous prime is 131130021301. The next prime is 131130021367. The reversal of 131130021330 is 33120031131.

It is a happy number.

131130021330 is a `hidden beast` number, since 1 + 3 + 11 + 300 + 21 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12766857 + ... + 12777123.

It is an arithmetic number, because the mean of its divisors is an integer number (1177328880).

Almost surely, 2131130021330 is an apocalyptic number.

131130021330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131130021330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226047144960).

131130021330 is an abundant number, since it is smaller than the sum of its proper divisors (320964268590).

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

131130021330 is a wasteful number, since it uses less digits than its factorization.

131130021330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10414 (or 10411 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131130021330 its reverse (33120031131), we get a palindrome (164250052461).

The spelling of 131130021330 in words is "one hundred thirty-one billion, one hundred thirty million, twenty-one thousand, three hundred thirty".