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131012300120130 = 2325111326173126851
BaseRepresentation
bin11101110010011110101101…
…100111000010000001000010
3122011212122122110021120000200
4131302132231213002001002
5114133001142312321010
61142350115250430030
736411216633564162
oct3562365547020102
9564778573246020
10131012300120130
1138821005a30460
121283b08a292316
135814539c25c00
14244d05a0285a2
151022de5ab4cc0
hex7727ad9c2042

131012300120130 has 288 divisors, whose sum is σ = 402450190414272. Its totient is φ = 29312457408000.

The previous prime is 131012300120129. The next prime is 131012300120137. The reversal of 131012300120130 is 31021003210131.

131012300120130 is a `hidden beast` number, since 1 + 310 + 1 + 2 + 300 + 1 + 20 + 1 + 30 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (131012300120137) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1032741205 + ... + 1032868055.

It is an arithmetic number, because the mean of its divisors is an integer number (1397396494494).

Almost surely, 2131012300120130 is an apocalyptic number.

131012300120130 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 131012300120130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201225095207136).

131012300120130 is an abundant number, since it is smaller than the sum of its proper divisors (271437890294142).

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

131012300120130 is a wasteful number, since it uses less digits than its factorization.

131012300120130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133074 (or 133058 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131012300120130 its reverse (31021003210131), we get a palindrome (162033303330261).

The spelling of 131012300120130 in words is "one hundred thirty-one trillion, twelve billion, three hundred million, one hundred twenty thousand, one hundred thirty".